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13991904 = 2532192557
BaseRepresentation
bin110101010111…
…111111100000
3222022212021200
4311113333200
512040220104
61215521200
7226633503
oct65277740
928285250
1013991904
117997363
124829200
132b8b844
141c0313a
151365b39
hexd57fe0

13991904 has 72 divisors (see below), whose sum is σ = 41900040. Its totient is φ = 4416768.

The previous prime is 13991897. The next prime is 13991911. The reversal of 13991904 is 40919931.

It is an interprime number because it is at equal distance from previous prime (13991897) and next prime (13991911).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4194 + ... + 6750.

It is an arithmetic number, because the mean of its divisors is an integer number (581945).

Almost surely, 213991904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13991904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20950020).

13991904 is an abundant number, since it is smaller than the sum of its proper divisors (27908136).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13991904 is a wasteful number, since it uses less digits than its factorization.

13991904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2592 (or 2581 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 13991904 is about 3740.5753568134. The cubic root of 13991904 is about 240.9677590979.

The spelling of 13991904 in words is "thirteen million, nine hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 456 608 684 912 1368 1824 2557 2736 5114 5472 7671 10228 15342 20456 23013 30684 40912 46026 48583 61368 81824 92052 97166 122736 145749 184104 194332 245472 291498 368208 388664 437247 582996 736416 777328 874494 1165992 1554656 1748988 2331984 3497976 4663968 6995952 13991904